Formal systems of numerals

Abstract

A new system of numerals is introduced for representing numbers in base 2N for N≤8. The new notation greatly simplifies arithmetical operations on numbers. For examples for, N=3(4) one obtains a notation for octal (hexadecimal) numbers in which one can perform addition and multiplication much more easily than in the standard notation. For N=8 one obtains a practical way of representing numbers to the base 256. A simplification of the decimal notation is also presented.